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Finding the Third Proportional to 11,412,735.75 and 23,224,052.25

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Solution

The third proportional to 11,412,735.75 and 23,224,052.25 is: 47,259,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412,735.75 : 23,224,052.25 = 23,224,052.25 : x
  2. Step 2: Convert to fraction form
    11,412,735.75/23,224,052.25 = 23,224,052.25/x
  3. Step 3: Cross multiply
    11,412,735.75x = 23,224,052.25 × 23,224,052.25
  4. Step 4: Simplify right side
    11,412,735.75x = 539,356,602,910,730.06
  5. Step 5: Solve for x
    x = 539,356,602,910,730.06/11,412,735.75
  6. Step 6: Final answer
    x = 47,259,186.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.